Answer:
108 degrees
Step-by-step explanation:
3x+x+6x=10x, 180/10=18 and 18x6 is 108
Let the prices of a pack of potato chips and can of coke be x and y respectively
3x+2y=50-9
3x+2y=41........... (1)
4x+5y=50+21
4x+5y=71............(2)
Multiply (1) with 4 and (2) with3
12x+8y=164
12x+15y=213
On subtracting above eqs. we get
7y= 49
y=7
Putting value of y in (2)
4x+5(7)=71
4x+35=71
4x=36
x=9
x=$9
y=$7
MARK IT BRANLIEST PLZZZ....
Explain it more so I can comment it
Answer:
a) e-0.03x(0.3-0.009x)
b) 33 hrs 20 min
c) 17.182
Step-by-step explanation:
Taking derivative of the above equation would give us the rate for change in donations :
hence
f'(x) = d/dx (0.3xe-0.03x)
using product rule of derivation where (uv)' = u'v +v'u
hence
f'(x) = (e-0.03x)d/dx(0.3x) + 0.3x*d/dx(e-0.03x)
= 0.3e-0.03x + 0.3x(-0.03)(e-0.03x)
f'(x) =0.3e-0.03x -0.009xe-0.03x
hence
a) rate of change in donations = e-0.03x(0.3-0.009x) taking exponent common
b) f'(x) = 0 according to statement
hence 0 = e-0.03x(0.3-0.009x)
0 = 0.3 - 0.009 x
which gives x = 33.33 hrs i.e after 33 hrs and 20 minutes rate of change of donations is 0.
c) donation level at the time is given by
f(x) = 0.3xe-0.03x
f(33.33) = 0.3 (33.33)e-0.03(33.33)
= 17.182
That is 17.182 thousand donations were made at that time.
Answer:A quick way to solve this problem involves copying the given equation:
2x + 5y = 10
dropping the final 10, and
substituting the given x and y values: (5, -4).
Then:
2(5) + 5(-4) = C C = 10-20 = -10
Thus, the equation of this new, parallel line is 2x + 5y = -10.
Step-by-step explanation:
because that's
the fastest way to do it